Position-space renormalization for elastic percolation networks with bond-bending forces

Abstract

We develop a three-parameter position-space renormalization-group method and study the percolation properties of a two-dimensional elastic network in which both central and rotationally invariant bond-bending forces are present. The critical exponent f, which describes the power-law behavior of the elastic moduli near the percolation threshold, is estimated for a square network and is found to be consistent with recent estimates obtained by other methods.